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There are several methods. You could do this by having 2.25 + 2.25 = 4.5, this rounds to 2 + 2 = 5. The most popular method, though, is the following:

16 - 36 = 25 - 45

This can be transformed into:

16 - 36 + (81/4) = 25 - 45 + (81/4)

. . . transforms to . . .

42 - 2 * 4 * (9/2) + (9/2)2 = 52 - 2 * 5 * (9/2) + (9/2)2

. . . transforms to . . .

a2 - 2 * a * b + b2 = (a - b2)

. . . simplified to . . .

(4 - [9/2]2) = (5 - [9/2]2)

. . . simplified, finally, to . . .

4 = 5

Thus 2 + 2 = 5.

NOTE

If there are any mathematical issues in the process above, please notify me. I did not create but rather found this equation, and I suspect that there may be an error.

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Q: How do you make 2 plus 2 equals 5?
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